Bored on sunday? Check my work (vector calc)

OK so this is kind of a big favor, and if nobody wants to do it I totally understand. But any sanity checking would be extremely useful. Here's some sample questions for my final exam:

http://math.ucsc.edu/~ginzburg/teaching/23B-2008/prf.pdf [Broken]

No answers were provided for the first 6 problems and silly me forgot to ask. I have done them! I'm not asking for you to do my work :) But I'd like to know if I got them right. So I'll post my answers and, if you feel like it, please let me know how terribly, terribly wrong I am :)